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2 years ago

Answer this question

Mathematics

1 answer:

Stella [2.4K]2 years ago

8 0

Answer:

-1/x

Step-by-step explanation:

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Points P and Q belong to segment AB . If AB = a, AP = 2PQ = 2QB, find the distance: midpoints between AP QB

Digiron [165]

Answer: The distace between midpoints of AP and QB is $\frac{a}{8}$ .

Step-by-step explanation: Points P and Q are between points A and B and the segment AB measures a, then:

AP + PQ + QB = a

According to the question, AP = 2 PQ = 2QB, so:

PQ = $\frac{AP}{2}$

QB = $\frac{AP}{2}$

Substituing:

AP + 2*( $\frac{AP}{2}$ ) = a

2AP = a

AP = $\frac{a}{2}$

Since the distance is between midpoints of AP and QB:

2QB = AP

QB = $\frac{AP}{2}$

QB = $\frac{a}{2}*\frac{1}{2}$

QB = $\frac{a}{4}$

MIdpoint is the point that divides the segment in half, so:

<u>Midpoint of AP</u>:

$\frac{AP}{2} = \frac{a}{2}*\frac{1}{2}$

$\frac{AP}{2} = \frac{a}{4}$

<u>Midpoint of QB</u>:

$\frac{QB}{2} = \frac{a}{4}*\frac{1}{2}$

$\frac{QB}{2} = \frac{a}{8}$

The distance is:

d = $\frac{a}{4} - \frac{a}{8}$

d = $\frac{a}{8}$

4 0

2 years ago

What is the area of a triangle with base 12.5 m and height 2.4 m

BaLLatris [955]

A = 1/2 (b x h)
A = 1/2(12.5 x 2.4)
A = 1/2(30)
A = 15

3 0

3 years ago

Read 2 more answers

The product of (-5xy2) and (-4x2y)

solong [7]

Combine like variables:

(20x^2)(2y^3)

Combine coefficients:

40(x^2)(y^3)

3 0

2 years ago

Can anyone simplify this equation? 8^2+9(12÷3×2)- 7

Vinvika [58]

Answer:129

Step-by-step explanation:

6 0

3 years ago

Scores on a dental anxiety scale range from 0 (no anxiety) to 20 (extreme anxiety). The scores are normally distributed with a

solniwko [45]

Answer:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

Step-by-step explanation:

The following information is missing in the question:

We have to find z-score for the given score on this dental anxiety scale: 12, 6

We are given the following information in the question:

Mean, μ = 11

Standard Deviation, σ = 4

We are given that the distribution of score is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

where x is the given score on this dental anxiety scale.

For x = 12

$z_{score} = \displaystyle\frac{12-11}{4} = 0.25$

For x = 6

$z_{score} = \displaystyle\frac{6-11}{4} = -1.25$

6 0

3 years ago